Question

In chapter 3, it was noted that the mean is the most commonly
used measure of central tendency. Partly because variance and
standard deviation are directly related to the mean, these two
values are the most common measures of variability. Explain how
variance and standard deviation are related to the mean.

Answer #1

Variance and standard deviation are both determined by the help of mean of a group of numbers in question(this group called sample or population). The mean is the average of the group and the variance measures the average degree to which each number is different from the mean in that group. The extent of the variance correlates to the size of the overall range of numbers—that is, the variance is greater when there is a wider range of numbers in this group, and the variance is less when there is a narrower range of numbers. the standard deviation is the square foot of variance.

the variance of a group which has n observations ( numbers) can be calculated as

if we find the variance of sampke zhen devide n-1 instead of n due to degree of freedom.

hii.. if you have any doubt please ask by comment..

When doing a descriptive analysis for continuous variable, which
measures are most commonly used:
-a measure of central tendency (mean or median)
-a count of how many people selected each response option
(frequency)
-a measure of dispersion (standard deviation)
-all of the above
-1 & 3
What is the most important reason we do data analysis for
marketing?
-to impress our bosses
-to help improve manager's decision quality
-to turn data into information
-to increase the visual impact of our...

Which of the following is TRUE? Select one: a. Mode is better
than mean to measure the central tendency for categorical data. b.
A data group with larger standard deviation has relatively greater
variability than another data group with smaller standard
deviation. c. Mean is always equal to median. d. Population
variance is always equal to sample variance.

what are ways that the most commonly used measure of variation
and standard deviation can be applied to real life examples in a
student's chosen field of study?

True or False, the mean is the measure of central
tendency most likely to be affected by an outliner? Explain your
reasoning.

the
teo most frequently used measures off central tendency are the mean
and the median. compare these two measurements for the following
characteristics . takes every score into ain't? affected by extreme
scores? advantages? disadvantages ?

Why do we use standard deviation and not mean to measure the
EEG signal?
Select one:
a. Because the standard deviation is easier to measure.
b. Because the standard deviation is less affected by outliers
than the mean.
c. Because the standard deviation measures variability and
brain signals are more variable than other physiological
signals.
d. Because the standard deviation is a better approximation of
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Respond to the following in a minimum of 175 words:
The most frequently used measures of central tendency for
quantitative data are the mean and the median. The following table
shows civil service examination scores from 24 applicants to law
enforcement jobs:
83 74 85 79
82 67 78 70
18 93 64 27
93 98 82 78
68 82 83 99
96 62 93 58
Using Excel, find the mean, standard deviation, and 5-number
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Construct and paste a box plot depicting the 5-number
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choose the most appropriate measure of central
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quartiles, standard deviation) and whyd you choose them
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Problem Set 6:
a) The variance is high if the mean is a good measure for
central tendency.
b) If the covariance of X and Y is close to −1, then there is
a weak negative
relationship between X and Y .
c) The standard deviation of X is always greater than or equal
to the variance
of X.
d) The covariance of X and Y is always smaller than or equal
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6. Given the set of 23 numbers below, ____ is the most
representative measure of ______, because ______.
1, 25, 4, 5, 16, 6, 17, 8, 10, 12, 14, 14, 13, 9, 12, 14, 19, 5,
20, 13, 21, 22, 15
a correlation coefficient; association; the distribution is
curvilinear
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